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| + | ==expositions== | ||
| + | * Jianya Liu [http://www.prime.sdu.edu.cn/lectures/LiuMaassforms.pdf LECTURES ON MAASS FORMS] | ||
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| + | ==computational resource== | ||
| + | * http://www.math.chalmers.se/~sj/forskning/level11_2a.pdf | ||
| + | * http://www.ijpam.eu/contents/2009-54-2/12/12.pdf | ||
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==encyclopedia== | ==encyclopedia== | ||
2013년 4월 15일 (월) 10:07 판
introduction
- Hyperbolic distribution problems and half-integral weight Maass forms
- Automorphic forms correspond to representations that occur in $L_2(\Gamma\backslash G)$.
- In the case when $G$ is $SL_2$
- holomorphic modular forms correspond to (highest weight vectors of) discrete series representations of $G$
- Maass wave forms correspond to (spherical vectors of) continuous series representations of G.
Eisenstein series
Kloosterman sum
books
- Henryk Iwaniek, Emmanuel Kowalski (2004). Analytic number theory
- Lectures on modular functions of one complex variable (Tata Institute of Fundamental Research. Lectures on mathematics and physics. Mathematics, 29)
- Hans Maass, (pdf)
expositions
- Jianya Liu LECTURES ON MAASS FORMS
computational resource
- http://www.math.chalmers.se/~sj/forskning/level11_2a.pdf
- http://www.ijpam.eu/contents/2009-54-2/12/12.pdf
encyclopedia
- http://en.wikipedia.org/wiki/Kronecker_limit_formula
- http://en.wikipedia.org/wiki/Real_analytic_Eisenstein_series